Author:
Coven Ethan M.,Mulvey Irene
Abstract
AbstractWe study the dynamics of continuous maps of the circle with periodic points. We show that the centre is the closure of the periodic points and that the depth of the centre is at most two. We also characterize the property that every power is transitive in terms of transitivity of a single power and some periodic data.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Reference9 articles.
1. Symbolic dynamics and transformations of the unit interval
2. [6] Coppel A. . Continuous maps of an interval. Xeroxed notes, 1984.
3. Periodic orbits of continuous mappings of the circle
4. Homoclinic and non-wandering points for maps of the circle
5. Fixed points and the center of a continuous mapping of the line into itself. (Ukrainian, Russian and English summaries.);Sarkovskǐi;Dopovidi Akad. Nauk.,1964
Cited by
31 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献